(Used for Tiffin Year 7 scheme of work)
(a) Recognise notation to reference angles, triangles and sides.
(b) Know the sum of the angles in a triangle, angles on a straight line and angles around a point.
(c) Understand alternate, corresponding, cointerior and vertically opposite angles. Know that (interior) angles in a quadrilateral sum to 360. know angle properties of parallelograms.
(d) Recognise that base angles of an isosceles triangle are equal.
(e) Introduce and use algebraic angles.
(f) Be able to construct diagrams from written information about vertices/sides/angles.
(g) Construct angle proofs (including proving a triangle is isosceles, or two lengths are equal, or a line bisects an angle).
(a) Understand the definition of different quadrilaterals (kite, trapezium, rhombus, parallelogram).
(b) Know properties that quadrilaterals have, i.e. symmetry, diagonals, rotational symmetry, etc.
(c) Know that a polygon is regular if its lengths and angles are all equal.
(d) Know the angle sum of interior angles given the number of sides, and of exterior angles.
(e) Determine each interior/exterior angle of a regular polygon.
(f) Determine the number of sides a regular polygon has given each exterior or interior angle.
Covers geometric problems (involving lengths, angles and area) found in Intermediate Maths Challenges and Olympiads.
Based on the AQA syllabus. Proofs involving angles.
Students get into groups and have 12 puzzles on interior/exterior angles to solve. All questions courtesy of the UKMT.